Affiliation:
1. Dr. Babasaheb Ambedkar Marathwada University, India.
2. Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad
Abstract
Many evolutionary operations fromdiverse fields of engineering and physical sciences go through
abrupt modifications of state at specific moments of time among periods of non-stop evolution.
These operations are more conveniently modeled via impulsive differential equations and inclusions.
In this work, firstly we address the existence of mild solutions for nonlocal fractional impulsive
semilinear differential inclusions related to Caputo derivative in Banach spaces when the
linear part is sectorial. Secondly, we determine the enough, conditions for the controllability of
the studied control problem. We apply effectively fixed point theorems, contraction mapping,
multivalued analysis and fractional calculus. Moreover, we enhance our results by introducing an
illustrative examples.
Subject
Applied Mathematics,Geometry and Topology,Mathematics (miscellaneous),Analysis
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